IMO, the officiating profession is no different than any other; at least in that respect. When other professionals have a "bad day", they also ask themselves is it worth it to go on. You don't think that a ballplayer who struck out (4) times in a row, booted (3) easy grounders or threw away (4) easy tosses in the 1st game of a DH is gonna go home and cry instead of "working" the 2nd game, do you?
The experienced umpires, such as yourself, KNOW that you can't just leave your assignor hanging. Gotta leave that 1st game at the fenceline and be ready to be "up" for the nex game.
From personal experience in just such a scenario as you described, Pete, every single team "forgets" about the 1st game and focuses on the game at hand. They realize they'll have all new calls for which they can disagree and yell at you for!
Jerry